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Finding the Fourth Proportional to 280,810.38, 387,464.58 and 159,949.02

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Solution

The fourth proportional to 280,810.38, 387,464.58 and 159,949.02 is: 220,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,810.38 : 387,464.58 = 159,949.02 : x
  2. Step 2: Convert to fraction form
    280,810.38/387,464.58 = 159,949.02/x
  3. Step 3: Cross multiply
    280,810.38x = 387,464.58 × 159,949.02
  4. Step 4: Simplify right side
    280,810.38x = 61,974,579,855.71
  5. Step 5: Solve for x
    x = 61,974,579,855.71/280,810.38
  6. Step 6: Final answer
    x = 220,699.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.